29680819 has 8 divisors (see below), whose sum is σ = 34613600. Its totient is φ = 25440408.

The previous prime is 29680753. The next prime is 29680823. The reversal of 29680819 is 91808692.

29680819 = 106² + 107² + ... + 448².

It is a happy number.

It is not a de Polignac number, because 29680819 - 2⁹ = 29680307 is a prime.

It is a super-2 number, since 2×29680819² = 1761902033021522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29680319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42924 + ... + 43609.

It is an arithmetic number, because the mean of its divisors is an integer number (4326700).

Almost surely, 2^29680819 is an apocalyptic number.

29680819 is a deficient number, since it is larger than the sum of its proper divisors (4932781).

29680819 is an frugal number, since it uses more digits than its factorization.

29680819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86554 (or 86540 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 29680819 is about 5448.0105543216. The cubic root of 29680819 is about 309.6173530581.

The spelling of 29680819 in words is "twenty-nine million, six hundred eighty thousand, eight hundred nineteen".